Reduced norms of division algebras over complete discrete valuation fields of local-global type

DOI10.1142/S0219498820502175zbMath1459.11104arXiv1902.06534WikidataQ114614527 ScholiaQ114614527MaRDI QIDQ5133867

Yong Hu

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06534

zbMATH Keywords

Galois cohomologyreduced normsdivision algebras over valuation fieldsrost invariant

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Brauer groups (algebraic aspects) (16K50) Galois cohomology of linear algebraic groups (11E72) Nonassociative division algebras (17A35)

Related Items (1)

On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3

Cites Work

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• Division algebras over Henselian fields.
• Patching over fields
• Applications of patching to quadratic forms and central simple algebras
• Algebraic \(K\)-theory and the norm residue homomorphism
• The dimension of fields and algebraic \(K\)-theory
• Galois Cohomology
• Rost's cohomological invariants in positive characteristic
• The cohomological dimension of \(C_r\) fields of characteristic \(p\)
• Refinements to Patching and Applications to Field Invariants
• Local-global principles for torsors over arithmetic curves
• Duality in the flat cohomology of a surface
• Local–global principle for reduced norms over function fields of -adic curves
• Central Simple Algebras and Galois Cohomology
• Rational points in Henselian discrete valuation rings

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